Two fair six-sided dice are tossed independently. Let M = the maximum of the two tosses (so

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Two fair six-sided dice are tossed independently. Let M = the maximum of the two tosses (so M(1,5) = 5, M(3,3) = 3, etc.).
a. What is the pmf of M? [Hint: First determine p(1), then p(2), and so on.]
b. Determine the cdf of M and graph it.
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